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- W2373515538 abstract "A Cayley(di)graph X on a finite group G is said to be normal if the acting group R(G) of the right multiplication by G is normal in its full automorphism group.In this paper,the authors mainly research the normality of connected cubic Cayley digraphs on the 8p-order dihedral group G:=D8p=〈a,ba4p=b2=1,b-1ab=a-1〉,and then prove that all such graphs X=Cay(G,S) are non-normal if and only if S~{b,a,a2p+1} and S ~{b,ba,bak }(k=2p or 2p+1) with p being an odd prime,or S~{b,a,a5} and S~{b,ba,bak}(k=3,4,5,6) with p=2." @default.
- W2373515538 created "2016-06-24" @default.
- W2373515538 creator A5071719303 @default.
- W2373515538 date "2012-01-01" @default.
- W2373515538 modified "2023-09-26" @default.
- W2373515538 title "The Normality of Connected Cubic Cayley Digraphs on the Dihedral Group with Order 8p" @default.
- W2373515538 hasPublicationYear "2012" @default.
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